65% as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Percentages represent parts per hundred. For example, 1/2. In this guide, we are going to learn how to convert a percentage to a fraction.

What is 65% as a Fraction?

$65 percent as a fraction$

Answer

The answer for 65% as a fraction will be 13/20.

Explanation

Converting a percentage to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any percentage should be converted to a fraction for easy calculation. Here, 65% is the number, and it means 65 per 100. Thus, 65% becomes 65/100.

Step 2: To simplify the fraction, you need to find the greatest common divisor (GCD) of 65 and 100. The GCD is 5.

Step 3: Now, to make the fraction simpler, divide the numerator and denominator by 5. 65/100 = 13/20

Thus, 65% can be written as the fraction 13/20.

Important Glossaries for 65% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A number or ratio expressed as a fraction of 100.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Simplification: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD).